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Finding the Fourth Proportional to 677.67, 1,016.84 and 267.10

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Solution

The fourth proportional to 677.67, 1,016.84 and 267.10 is: 400.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.67 : 1,016.84 = 267.10 : x
  2. Step 2: Convert to fraction form
    677.67/1,016.84 = 267.10/x
  3. Step 3: Cross multiply
    677.67x = 1,016.84 × 267.10
  4. Step 4: Simplify right side
    677.67x = 271,593.82
  5. Step 5: Solve for x
    x = 271,593.82/677.67
  6. Step 6: Final answer
    x = 400.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.